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A, B, C are three positive numbers. Which is the greatest number

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DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1435
Location: India
A, B, C are three positive numbers. Which is the greatest number  [#permalink]

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16 Mar 2018, 23:33
00:00

Difficulty:

45% (medium)

Question Stats:

60% (01:30) correct 40% (01:30) wrong based on 45 sessions

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A, B, C are three positive numbers. Which is the greatest number among A, B, C?

(1) A*B > B*C > C*A

(2) 1/C > 1/A > 1/B
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Joined: 25 Feb 2013
Posts: 1220
Location: India
GPA: 3.82
A, B, C are three positive numbers. Which is the greatest number  [#permalink]

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17 Mar 2018, 04:43
1
amanvermagmat wrote:
A, B, C are three positive numbers. Which is the greatest number among A, B, C?

(1) A*B > B*C > C*A

(2) 1/C > 1/A > 1/B

Statement 1: $$A*B > B*C => A>C$$ and $$B*C > C*A => B>A$$

Therefore $$B>A>C$$. Sufficient

Statement 2: $$\frac{1}{C}>\frac{1}{A} =>A>C$$ AND $$\frac{1}{A}>\frac{1}{B} => B>A$$

Therefore $$B>A>C$$. Sufficient

Option D
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Re: A, B, C are three positive numbers. Which is the greatest number  [#permalink]

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20 Mar 2018, 00:22
amanvermagmat wrote:
A, B, C are three positive numbers. Which is the greatest number among A, B, C?

(1) A*B > B*C > C*A

(2) 1/C > 1/A > 1/B

Experts pls advice if i am on correct line of understanding.

for 1. A*B > B*C > C*A

case I :
Considering, A : 3 , B : 2, C : 1

we get, 3/2 , 2/1 , 1/3
1.5, 2, 0.33

case II :
Considering, A : 6 , B : 2, C : 1

we get, 6/2 , 2/1 , 1/6
3 2 0.16

both situations provide a different answer, so how can statement (1) be sufficient in itself??

experts and friends pls revert
DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1435
Location: India
Re: A, B, C are three positive numbers. Which is the greatest number  [#permalink]

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20 Mar 2018, 04:52
GMAT215 wrote:
amanvermagmat wrote:
A, B, C are three positive numbers. Which is the greatest number among A, B, C?

(1) A*B > B*C > C*A

(2) 1/C > 1/A > 1/B

Experts pls advice if i am on correct line of understanding.

for 1. A*B > B*C > C*A

case I :
Considering, A : 3 , B : 2, C : 1

we get, 3/2 , 2/1 , 1/3
1.5, 2, 0.33

case II :
Considering, A : 6 , B : 2, C : 1

we get, 6/2 , 2/1 , 1/6
3 2 0.16

both situations provide a different answer, so how can statement (1) be sufficient in itself??

experts and friends pls revert

Hello

You are dividing, As per the first statement you are supposed to multiply not divide.
Re: A, B, C are three positive numbers. Which is the greatest number &nbs [#permalink] 20 Mar 2018, 04:52
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